On the stability of linear fractional difference systems

• Author(s): Vettori, Paolo ; Pereira, Ricardo
• Date: 2012
• Persistent ID: http://hdl.handle.net/10773/8881
• Origin: RIA - Repositório Institucional da Universidade de Aveiro
• Subject(s): Linear dynamical systems; Stability; Fractional calculus; Time scales
• Document Type: Conference Object
• Language: English

Description

A fractional linear system is defined by differential or difference equations of non-integer order. A well-known result about the stability of fractional differential systems will be extended to discrete-time systems defined by fractional difference equations. This will be accomplished using time scales, which permit to unify continuous and discrete-time systems.